Quaternion Algebras over Curves of Genus One Without Rational Points
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Publication:4662381
DOI10.1142/S1005386705000076zbMath1099.16006OpenAlexW2113774089MaRDI QIDQ4662381
Publication date: 30 March 2005
Published in: Algebra Colloquium (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s1005386705000076
Azumaya algebrascomposition algebrasHasse principleCayley-Dickson processcurves of genus onequaternion algebras over curvesunramified quaternion algebras
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Cites Work
- Nonassociative algebras with scalar involution
- Composition algebras and their automorphisms
- Algebraic elements in division algebras over function fields of curves
- Non-free projective modules over H(X,Y) and stable bundles over \(P_ 2(\)C)
- Composition algebras over a field with a discrete valuation
- Vector bundles and symmetric bilinear forms over curves of genus one and arbitrary index
- The classification of two-dimensional nonassociative algebras
- On indecomposable vector bundles
- Quaternion algebras over elliptic curves
- Composition algebras over rings of genus zero
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